10642211063800 has 48 divisors (see below), whose sum is σ = 24743740004640. Its totient is φ = 4256781323520.

The previous prime is 10642211063777. The next prime is 10642211063837. The reversal of 10642211063800 is 836011224601.

It is a super-2 number, since 2×10642211063800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7917564 + ... + 9163636.

It is an arithmetic number, because the mean of its divisors is an integer number (515494583430).

Almost surely, 2^{10642211063800} is an apocalyptic number.

10642211063800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10642211063800 is an abundant number, since it is smaller than the sum of its proper divisors (14101528940840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10642211063800 is a wasteful number, since it uses less digits than its factorization.

10642211063800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288792 (or 1288783 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 10642211063800 in words is "ten trillion, six hundred forty-two billion, two hundred eleven million, sixty-three thousand, eight hundred".